ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS

Title & Authors
ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS
Kim, Min-Soo; Son, Jin-Woo;

Abstract
In this paper, we consider the q-Volkenborn integral of uniformly differentiable functions on the p-adic integer ring. By using this integral, we obtain the generating functions of twisted q-generalized Bernoulli numbers and polynomials. We find some properties of these numbers and polynomials.
Keywords
q-Volkenborn integral;$\small{I_q}$-Fourier transforms;
Language
English
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3.
Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications, Cogent Mathematics, 2016, 3, 1
4.
Values of twisted Barnes zeta functions at negative integers, Russian Journal of Mathematical Physics, 2013, 20, 2, 129
5.
Some symmetric identities on higher order q-Euler polynomials and multivariate fermionic p-adic q-integral on Zp, Applied Mathematics and Computation, 2013, 221, 558
6.
( ρ , q )-Volkenborn integration, Journal of Number Theory, 2017, 171, 18
7.
On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals, International Journal of Number Theory, 2017, 1
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